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Finding the Third Proportional to 264,766 and 397,741

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Solution

The third proportional to 264,766 and 397,741 is: 597,500.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,766 : 397,741 = 397,741 : x
  2. Step 2: Convert to fraction form
    264,766/397,741 = 397,741/x
  3. Step 3: Cross multiply
    264,766x = 397,741 × 397,741
  4. Step 4: Simplify right side
    264,766x = 158,197,903,081
  5. Step 5: Solve for x
    x = 158,197,903,081/264,766
  6. Step 6: Final answer
    x = 597,500.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.